[beerandt]

The precision (ability) of the machine rarely matches the precision of the measuring apparatus, if it's even part of the same equipment. And that's usually ok, even preferred, and cheaper.

If it's a rabbit hole you're interested in, then check out the history of geodesy / geodetic surveying & the design of mechanical / optical surveying equipment- especially theodolites & auto-levels (and even chronometers and astronomic observatories, if you want to go 4-dimensional).

It was the "industry" that had a large hand in innovating this technology, which led to the smaller versions used in manufacturing (made even more interesting due to the fact it was all funded to better artillery, and ultimately ballistic missle targeting, sans-GPS.)

I'd be happy to steer you in the right direction, if interested. It's a personal favorite.